2(2n+1)=6(5n+7)+9

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Solution for 2(2n+1)=6(5n+7)+9 equation: 


Simplifying
2(2n + 1) = 6(5n + 7) + 9

Reorder the terms:
2(1 + 2n) = 6(5n + 7) + 9
(1 * 2 + 2n * 2) = 6(5n + 7) + 9
(2 + 4n) = 6(5n + 7) + 9

Reorder the terms:
2 + 4n = 6(7 + 5n) + 9
2 + 4n = (7 * 6 + 5n * 6) + 9
2 + 4n = (42 + 30n) + 9

Reorder the terms:
2 + 4n = 42 + 9 + 30n

Combine like terms: 42 + 9 = 51
2 + 4n = 51 + 30n

Solving
2 + 4n = 51 + 30n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-30n' to each side of the equation.
2 + 4n + -30n = 51 + 30n + -30n

Combine like terms: 4n + -30n = -26n
2 + -26n = 51 + 30n + -30n

Combine like terms: 30n + -30n = 0
2 + -26n = 51 + 0
2 + -26n = 51

Add '-2' to each side of the equation.
2 + -2 + -26n = 51 + -2

Combine like terms: 2 + -2 = 0
0 + -26n = 51 + -2
-26n = 51 + -2

Combine like terms: 51 + -2 = 49
-26n = 49

Divide each side by '-26'.
n = -1.884615385

Simplifying
n = -1.884615385

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